Differential Graded Lie Algebras and Deformations of Holomorphic Maps
arXiv:math/0701091
Abstract
We construct the deformation functor associated to a couple of morphisms of differential graded Lie algebras, and use it to study the infinitesimal deformations of a holomorphic map of compact complex manifolds. In particular, in the case of Kähler manifolds we describe a generalizzation of the semiregularity map.
PhD Thesis, 117 pages